dailysudoku.com Forum Index dailysudoku.com
Discussion of Daily Sudoku puzzles
 
 FAQFAQ   SearchSearch   MemberlistMemberlist   UsergroupsUsergroups   RegisterRegister 
 ProfileProfile   Log in to check your private messagesLog in to check your private messages   Log inLog in 

Conjugate-Linked ALS's plus Extended Purple Cow Example

 
Post new topic   Reply to topic    dailysudoku.com Forum Index -> Solving techniques, and terminology
View previous topic :: View next topic  
Author Message
Bud



Joined: 06 May 2010
Posts: 47
Location: Tampa, Florida

PostPosted: Tue Jun 21, 2011 11:42 pm    Post subject: Conjugate-Linked ALS's plus Extended Purple Cow Example Reply with quote

000400150001095040005012030009000004000526000800000600070100400000050700013008000

After making basic moves the puzzle is as shown in the diagram. At this point I look for the most powerful advanced move I can find and at least temporarily ignore weaker advanced moves. In this case it is the conjugate linked ALS’s in box456. The logic is as follows. If conjugate C=3, ALS A=1278 or else if D=3, ALS B=1247. In either case r4c1<>127, r4c2<>2,and r6c89<>2. This also makes r5c1=1.

Code:

+----------------------+-------------------+-------------------+
| 23679    23689  2678 | 4     3678  37    | 1    5      26789 |
| 2367     2368   1    | 3678  9     5     | 28   4      2678  |
| 4679     4689   5    | 678   1     2     | 89   3      6789  |
+----------------------+-------------------+-------------------+
|-1-236-7 -2356   9    | 378A  378A  137A  | 235C  127A  4     |
| 1347B    34B    47B  | 5     2     6     | 389D 1789   189   |
| 8        235    27B  | 379   347   13479 | 6    1-27   1-25  |
+----------------------+-------------------+-------------------+
| 2569     7      268  | 1     36    39    | 4    2689   23589 |
| 2469     24689  2468 | 2369  5     349   | 7    12689  12389 |
| 24569    1      3    | 2679  467   8     | 259  269    259   |
+----------------------+-------------------+-------------------+


After applying the conjugate ALS’s move, the puzzle is as shown in the diagram below. The cells in the purple cow pattern are denoted by *. The extension cell is denoted by ^. Note that the basic pattern consists of a single digit(4) 4-cell AIC and a single digit(7) 3-cell chain with (at least?) one strong link (in column 3). The ends of these two chains are connected together(r5c3 and r6c6). Note that in this case the 4-cell AIC is a useless skyscraper pattern. It could also be any type of useful or useless turbot fish pattern , although in most other purple cows I have found, the 4-cell AIC is not a Turbot fish. Purple cow logic is as follows. One or both ends of the 4-cell AIC must be 4. Either (4)r5c3=(7)r6c3=(1)r6c8 or (4)r6c6. In either case r6c6<>17. This also makes r4c6=1 and r1c6=7.

Code:

+--------------------+--------------------+-------------------+
| 23679  23689  268  | 4     3678   37    | 1    5      26789 |
| 2367   2368   1    | 3678  9      5     | 28   4      2678  |
| 4679   4689   5    | 678   1      2     | 89   3      6789  |
+--------------------+--------------------+-------------------+
| 36     356    9    | 378   378    137   | 235  127    4     |
| 1      34     47*  | 5     2      6     | 389  789    89    |
| 8      235    27*  | 379   347  -134-79*| 6    17^    15    |
+--------------------+--------------------+-------------------+
| 2569   7      268  | 1     36     39    | 4    2689   23589 |
| 2469   24689  2468*| 2369  5      349*  | 7    12689  12389 |
| 24569  1      3    | 2679  467    8     | 259  269    259   |
+--------------------+--------------------+-------------------+


The purple cow has much in common with the S-Wing. Both are basic 2-digit, 5-cell patterns which can be extended to get additional cell eliminations. Both patterns are discontinuous NL’s which can become 3-digit continuous loops. These continuous loops occur much more often in the S-Wing pattern than in the purple cow pattern. I have several examples of the former but only two of the latter. I have been able to get 4 digit eliminations with an extended S-Wing but only 2 for the extended purple cow. From my experience the purple cow is the least common of the 4 2-digit 4 and 5-cell patterns, but it is not rare.
Back to top
View user's profile Send private message
Display posts from previous:   
Post new topic   Reply to topic    dailysudoku.com Forum Index -> Solving techniques, and terminology All times are GMT
Page 1 of 1

 
Jump to:  
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum


Powered by phpBB © 2001, 2005 phpBB Group